Bakamjian-Thomas mass operator for the few-nucleon system from chiral dynamics

Details Bakamjian-Thomas mass operator for the few-nucleon system from chiral dynamics Bakamjian-Thomas mass operator for the few-nucleon system from chiral dynamics

2007-02-07

arxiv.org/abs/nucl-th/0702024v2

Phys.Rev.C76:044002,2007

Physics

Nuclear Physics

Nuclear Theory

17 pages, 10 figures. Revised formulation, matches the journal version

Scientific paper

10.1103/PhysRevC.76.044002

We present an exploratory study consisting in the formulation of a relativistic quantum mechanics to describe the few-nucleon system at low energy, starting from the quantum field theoretical chiral Lagrangian involving pions and nucleons. To this aim we construct a Bakamjian-Thomas mass operator and perform a truncation of the Fock space which respects at each stage the relativistic covariance. Such truncation is justified, at sufficiently low energy, in the framework of a systematic chiral expansion. As an illustration we discuss the bound state observables and low-energy phaseshifts of the nucleon-nucleon and pion-nucleon scattering at the leading order of our scheme.

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